This reminded me of the kind of stories you'd read in a 'Chicken Soup for the Soul' book, heartwarming tales about pets doing things from the extraordinary like saving their humans' lives to the unusual like forming unlikely cross-species friendships, to simply being in the right place at the right time to be adopted by the human who needed them the most. It's a quick read, and apparently there was a corresponding TV show, though the book is from 2000 and I don't remember the show, so it was likely a short-lived syndicated series.